102114070411201 has 16 divisors (see below), whose sum is σ = 104749437881088. Its totient is φ = 99498921840000.

The previous prime is 102114070411109. The next prime is 102114070411207.

102114070411201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102114070411201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102114070411207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4909701 + ... + 15110701.

It is an arithmetic number, because the mean of its divisors is an integer number (6546839867568).

Almost surely, 2^{102114070411201} is an apocalyptic number.

It is an amenable number.

102114070411201 is a deficient number, since it is larger than the sum of its proper divisors (2635367469887).

102114070411201 is a wasteful number, since it uses less digits than its factorization.

102114070411201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201992.

The product of its (nonzero) digits is 448, while the sum is 25.

The spelling of 102114070411201 in words is "one hundred two trillion, one hundred fourteen billion, seventy million, four hundred eleven thousand, two hundred one".